Abstract
Habitat edges can have a number of effects on populations, including modifying their patterns of dispersal. Dispersal patterns can influence population dynamics. In this paper, we explore the possible effects of a pattern of dispersal where the response of organisms to the boundary of a habitat patch depends on their local density. We model a population of organisms diffusing and growing logistically inside a patch, but with the likelihood of an individual crossing the patch boundary to leave the patch decreasing as the local density of conspecifics within the patch increases. Such behavior at patch boundaries has been observed among Glanville fritillary butterflies, and has been proposed as a mechanism for generating an Allee effect at the patch level. Our models predict that the behavior can indeed induce an Allee effect at the patch level even though there is no such effect built into the local population dynamics inside the patch. The models are relatively simple and are not intended to give a complete description of any particular population, but only to verify the idea that the mechanism of density-dependent dispersal behavior at a patch boundary is capable of altering population dynamics within the patch.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2339-2360 |
| Number of pages | 22 |
| Journal | Bulletin of Mathematical Biology |
| Volume | 69 |
| Issue number | 7 |
| DOIs | |
| State | Published - Oct 2007 |
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Keywords
- Allee effect
- Edge-mediated effects
- Logistic equation
- Nonlinear boundary conditions
- Population dynamics
- Reaction-diffusion
ASJC Scopus subject areas
- Agricultural and Biological Sciences(all)
Cite this
Density dependent behavior at habitat boundaries and the allee effect. / Cantrell, Robert; Cosner, George.
In: Bulletin of Mathematical Biology, Vol. 69, No. 7, 10.2007, p. 2339-2360.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Density dependent behavior at habitat boundaries and the allee effect
AU - Cantrell, Robert
AU - Cosner, George
PY - 2007/10
Y1 - 2007/10
N2 - Habitat edges can have a number of effects on populations, including modifying their patterns of dispersal. Dispersal patterns can influence population dynamics. In this paper, we explore the possible effects of a pattern of dispersal where the response of organisms to the boundary of a habitat patch depends on their local density. We model a population of organisms diffusing and growing logistically inside a patch, but with the likelihood of an individual crossing the patch boundary to leave the patch decreasing as the local density of conspecifics within the patch increases. Such behavior at patch boundaries has been observed among Glanville fritillary butterflies, and has been proposed as a mechanism for generating an Allee effect at the patch level. Our models predict that the behavior can indeed induce an Allee effect at the patch level even though there is no such effect built into the local population dynamics inside the patch. The models are relatively simple and are not intended to give a complete description of any particular population, but only to verify the idea that the mechanism of density-dependent dispersal behavior at a patch boundary is capable of altering population dynamics within the patch.
AB - Habitat edges can have a number of effects on populations, including modifying their patterns of dispersal. Dispersal patterns can influence population dynamics. In this paper, we explore the possible effects of a pattern of dispersal where the response of organisms to the boundary of a habitat patch depends on their local density. We model a population of organisms diffusing and growing logistically inside a patch, but with the likelihood of an individual crossing the patch boundary to leave the patch decreasing as the local density of conspecifics within the patch increases. Such behavior at patch boundaries has been observed among Glanville fritillary butterflies, and has been proposed as a mechanism for generating an Allee effect at the patch level. Our models predict that the behavior can indeed induce an Allee effect at the patch level even though there is no such effect built into the local population dynamics inside the patch. The models are relatively simple and are not intended to give a complete description of any particular population, but only to verify the idea that the mechanism of density-dependent dispersal behavior at a patch boundary is capable of altering population dynamics within the patch.
KW - Allee effect
KW - Edge-mediated effects
KW - Logistic equation
KW - Nonlinear boundary conditions
KW - Population dynamics
KW - Reaction-diffusion
UR - http://www.scopus.com/inward/record.url?scp=34548688957&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34548688957&partnerID=8YFLogxK
U2 - 10.1007/s11538-007-9222-0
DO - 10.1007/s11538-007-9222-0
M3 - Article
VL - 69
SP - 2339
EP - 2360
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
SN - 0092-8240
IS - 7
ER -